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Finding the Fourth Proportional to 6,540.22, 9,808.89 and 1,922.14

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Solution

The fourth proportional to 6,540.22, 9,808.89 and 1,922.14 is: 2,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.22 : 9,808.89 = 1,922.14 : x
  2. Step 2: Convert to fraction form
    6,540.22/9,808.89 = 1,922.14/x
  3. Step 3: Cross multiply
    6,540.22x = 9,808.89 × 1,922.14
  4. Step 4: Simplify right side
    6,540.22x = 18,854,059.82
  5. Step 5: Solve for x
    x = 18,854,059.82/6,540.22
  6. Step 6: Final answer
    x = 2,882.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.